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Results tagged with mp.mathematical-physics
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user 5371
Mathematical methods in classical mechanics, classical and quantum field theory, quantum mechanics, statistical mechanics, condensed matter, nuclear and atomic physics.
2
votes
How can I conclude that I live in a solar system?
An interesting (and very old) argument in favour of heliocentrism is based on estimates of the relative sizes of the Earth and Sun.
Actually, Aristarchus of Samos estimated that the Sun is six to …
- 22.3k
4
votes
Can the "physical argument" for the existence of a solution to Dirichlet's problem be made i...
The electrostatic intuition does lead to a correct mathematical formulation of the Dirichlet problem.
Let's consider an electric charge distribution of two thin layers (one layer is positive and the …
- 22.3k
19
votes
Accepted
Is there a mathematically precise definition of turbulence for solutions of Navier-Stokes?
There is probably no universally accepted mathematical definition of turbulence. (By the way, is there a physical one?) Moreover, the prevailing definitions seem to be highly volatile and time-depend …
- 22.3k
4
votes
Ways to prove an inequality
I don't think the question has a meaningful answer unless the OP specifies a class of inequalities he has in mind. The problem is that almost any mathematical statement can be restated as an inequalit …
- 22.3k
2
votes
Newton equations, second order equation and (im)possible motions
Newton's second law implies basically that the evolution of a mechanical system is completely determined as soon as the particles' initial positions $x(0)$ and velocities $\dot x(0)$ are specified. S …
- 22.3k